تقرير
Integrable sigma model with generalized $\mathcal{F}$ structure, Yang-Baxter sigma model with generalized complex structure and multi-Yang-Baxter sigma model
| العنوان: | Integrable sigma model with generalized $\mathcal{F}$ structure, Yang-Baxter sigma model with generalized complex structure and multi-Yang-Baxter sigma model |
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| المؤلفون: | Rezaei-Aghdam, A., Taghavi, A. |
| المصدر: | Nucl. Phys. B. 1007 (2024) 116671 |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | High Energy Physics - Theory, Mathematical Physics |
| الوصف: | We construct an integrable sigma model with a generalized $\mathcal{F}$ structure, which involves a generalized Nijenhuis structure $\mathcal{J}$ satisfying $\mathcal{J}^{3}=-\mathcal{J}$. Utilizing the expression of the generalized complex structure on the metric Lie group manifold $G$ in terms of operator relations on its Lie algebra $\mathfrak{g}$, we formulate a Yang-Baxter sigma model with a generalized complex structure. Additionally, we present multi-Yang-Baxter sigma models featuring two and three compatible Nijenhuis structures. Examples for each of these models are provided. Comment: 14 pages, two refs are added |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.nuclphysb.2024.116671 |
| URL الوصول: | http://arxiv.org/abs/2405.07270 |
| رقم الأكسشن: | edsarx.2405.07270 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.nuclphysb.2024.116671 |
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